针对 Hopfield 神经网络非线性动力学的电磁辐射控制。

IF 2.7 2区 数学 Q1 MATHEMATICS, APPLIED
Chaos Pub Date : 2024-07-01 DOI:10.1063/5.0194928
Wei Yao, Jia Fang, Fei Yu, Li Xiong, Lihong Tang, Jin Zhang, Yichuang Sun
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引用次数: 0

摘要

电磁辐射(EMR)会影响神经系统的动态行为,适当的电磁辐射有助于研究神经系统的动态机制。本文使用一个复杂的四维 Hopfield 神经网络(HNN)模型,并在其中增加了一个或多个记忆晶闸管,来模拟电磁辐射的影响。我们重点研究了 HNN 在电磁辐射影响下的混沌动力学。我们发现了复杂的动力学行为,并且瞬态混沌现象具有相同的初值敏感性,这表明了瞬态混沌是如何受到电磁辐射影响的。在双 EMR 中发现了准周期交替诱导的多周期现象,以及双 EMR 对系统混沌的抑制特性。这意味着 HNN 系统的动态行为可以通过改变 EMR 的量或 HNN 中受影响神经元的数量来控制。最后,Multisim 和现场可编程门阵列(FPGA)硬件为我们提出的模型提供了有力的验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Electromagnetic radiation control for nonlinear dynamics of Hopfield neural networks.

Electromagnetic radiation (EMR) affects the dynamical behavior of the nervous system, and appropriate EMR helps to study the dynamic mechanism of the nervous system. This paper uses a sophisticated four-dimensional Hopfield neural network (HNN) model augmented with one or more memristors to simulate the effects of EMR. We focus on the chaotic dynamics of HNN under the influence of EMR. Complex dynamical behaviors are found and transient chaotic phenomena have the same initial value sensitivity, showing how transient chaos is affected by EMR. Multiperiodic phenomena induced by quasi-periodic alternations are found in the dual EMR, as well as the suppression properties of the dual EMR for system chaos. This implies that the dynamical behavior of the HNN system can be controlled by varying the amount of EMR or the number of affected neurons in the HNN. Finally, a strong validation of our proposed model is provided by Multisim and Field Programmable Gate Array(FPGA) hardware.

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来源期刊
Chaos
Chaos 物理-物理:数学物理
CiteScore
5.20
自引率
13.80%
发文量
448
审稿时长
2.3 months
期刊介绍: Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
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